Pore Fluid Latent Heat

The latent heat is assumed to be released over a range of temperatures from a lower (solidus) temperature to an upper (liquidus) temperature.

Smooth Latent Heat Transition

Optionally, you may specify a smooth transition from solidus to liquidus temperature using

$U_{θ} = (L H) ξ^{3} (10 - 15 ξ + 6 ξ^{2}) f o r θ_{S} \leq θ \leq θ_{L},$

where

$U_{θ}$ is the internal energy,

$L H$ is the latent heat, and

$ξ = \frac{(θ - θ_{S})}{(θ_{L} - θ_{S})}$ . The above function is such that the first and second derivatives of

$U_{θ}$ are zero at

$θ_{S}$ and

$θ_{L}$ . The definition is intended to ramp up from one value to another. In addition, you can extend the solidus-liquidus temperature interval using a scale factor,

$f$ , as follows:

$θ_{S_n e w} = \frac{1}{2} [θ_{S} + θ_{L} - (θ_{L} - θ_{S}) . f]$

$θ_{L_n e w} = \frac{1}{2} [θ_{S} + θ_{L} + (θ_{L} - θ_{S}) . f]$


Input Data	Description
Latent heat	Latent heat per unit mass.
Solidus temperature	Low end of the temperature range within which the phase changes occurs.
Liquidus temperature	High end of the temperature range within which the phase changes occurs.
Scale factor	Scale factor to extend solidus-liquidus interval. The default value is 1.0.